03817nam 2200601 450 991048005070332120180731044131.00-8218-8188-40-8218-4886-0(CKB)3240000000070033(EBL)3113378(SSID)ssj0000629290(PQKBManifestationID)11398662(PQKBTitleCode)TC0000629290(PQKBWorkID)10735693(PQKB)11492789(MiAaPQ)EBC3113378(PPN)197108377(EXLCZ)99324000000007003320091028h20102010 uy| 0engur|n|---|||||txtccrDifferential algebra, complex analysis and orthogonal polynomials Jairo Charris Seminar 2007-2008, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia /Primitivo B. Acosta-Humánez, Francisco Marcellán, editorsProvidence, Rhode Island :American Mathematical Society ;[Bogotá, Colombia] :Instituto de Matemáticas y sus Aplicaciones,[2010]©20101 online resource (241 p.)Contemporary mathematics ;509Description based upon print version of record.Includes bibliographical references and index.""Contents""; ""Preface""; ""Differential Galois Theory of Algebraic Lie-Vessiot Systems""; ""1. Introduction""; ""2. Algebraic Groups and Homogeneous Spaces""; ""3. Differential Algebraic Geometry""; ""4. Galois theory of Algebraic Lie-Vessiot Systems""; ""5. Algebraic Reduction and Integration""; ""6. Integrability of Linear Equations""; ""Appendix A. Stalk formula for affine morphisms""; ""References""; ""Recent Trends on Two Variable Orthogonal Polynomials""; ""1. Introduction""; ""2. Algebraic properties of orthogonal polynomials in two variables""""3. Orthogonal polynomials in two variables and eigenfunctions of second order partial differential equations""""4. Extended definition of classical orthogonal polynomials in two variables""; ""5. Semiclassical orthogonal polynomials in two variables""; ""6. Sobolev orthogonal polynomials in several variables""; ""7. Open problems""; ""8. Acknowledgements""; ""References""; ""On the Integrability of the Riccati Equation""; ""1. Introduction""; ""2. Symmetries to the one-parameter family of Riccati equations (1.2)""; ""3. Applications""; ""4. conclusions""; ""References""""Two Discrete Systems of q-orthogonal Polynomials""""Like-hyperbolic Bloch-Bergman Classes""; ""1. Introduction""; ""2. Properties of Bα*A""; ""3. Characterizations for α-Bloch-Bergman classes""; ""4. Carleson and series characterization of Bα* A and Bα*A,0""; ""5. Properties of Bα*A""; ""References""; ""Some words about the application of Tchebycheff systems to Weak Hilbert's 16th Problem""; ""1. Hilbertâ€?s 16th and Weak Hilbert's 16th Problems""; ""2. Estimating the number of zeroes of an Abelian integral""; ""References""Contemporary mathematics (American Mathematical Society) ;v. 509.Differentiable dynamical systemsCongressesOrthogonal polynomialsCongressesElectronic books.Differentiable dynamical systemsOrthogonal polynomials515/.39Charris Castañeda Jairo A.Acosta Humanez Primitivo B.Marcellán FranciscoJairo Charris SeminarMiAaPQMiAaPQMiAaPQBOOK9910480050703321Differential algebra, complex analysis and orthogonal polynomials774768UNINA